Which is a true statement about any two cords that are the same distance from the center of a circle
1 answer:
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<span><u><em>The correct answer is: </em></u>
4.
<u><em>Explanation</em></u><span><u><em>: </em></u>
To find this answer, we divide the number of windows, 50, by the length (in windows covered) of each covering, 15:
</span></span>
<span><span>.
This means that 3 coverings won't quite be long enough, so we will need 4. </span></span>
4.
<u><em>Explanation</em></u><span><u><em>: </em></u>
To find this answer, we divide the number of windows, 50, by the length (in windows covered) of each covering, 15:
</span></span>
This means that 3 coverings won't quite be long enough, so we will need 4. </span></span>
A very useful result called the inscribed angle theorem tells us that, given any <em>inscribed angle</em> on a circle (an angle on the inside edge of a circle) the <em>central angle </em>that <em>subtends the same arc</em> is <em>twice the measure of the inscribed angle</em>. I've included a visual example for this problem if any of that vocabulary is unfamiliar.
Here, the inscribed angle ∠C = 87° is attached to the arc DEB. According to the inscribed angle theorem, the central angle swept out by DEB should then be 87 x 2 = 174°. To find the measure of arc DE, we note that arc DEB is just arc DE + arc EB. We're given that arc EB measures 76°, so we subtract that from 174 to find that arc DE = 174 - 76 = 98°
